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Finding the Fourth Proportional to 229,823.10, 316,894.35 and 161,818.32

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Solution

The fourth proportional to 229,823.10, 316,894.35 and 161,818.32 is: 223,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,823.10 : 316,894.35 = 161,818.32 : x
  2. Step 2: Convert to fraction form
    229,823.10/316,894.35 = 161,818.32/x
  3. Step 3: Cross multiply
    229,823.10x = 316,894.35 × 161,818.32
  4. Step 4: Simplify right side
    229,823.10x = 51,279,311,334.49
  5. Step 5: Solve for x
    x = 51,279,311,334.49/229,823.10
  6. Step 6: Final answer
    x = 223,125.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.